Stabilization of Heegaard splittings
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Stabilization of Heegaard splittings

  • Author(s): Hass, Joel;
  • Thompson, Abigail;
  • Thurston, William
  • et al.

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For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at most one stabilization. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.

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